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Finding the Third Proportional to 38,444 and 85,238

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Solution

The third proportional to 38,444 and 85,238 is: 188,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444 : 85,238 = 85,238 : x
  2. Step 2: Convert to fraction form
    38,444/85,238 = 85,238/x
  3. Step 3: Cross multiply
    38,444x = 85,238 × 85,238
  4. Step 4: Simplify right side
    38,444x = 7,265,516,644
  5. Step 5: Solve for x
    x = 7,265,516,644/38,444
  6. Step 6: Final answer
    x = 188,989.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.